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131220705 = 357111741163
BaseRepresentation
bin1111101001001…
…00010011100001
3100010220200222010
413310210103201
5232043030310
621004303133
73152233440
oct764442341
9303820863
10131220705
1168086070
1237b41aa9
13212552b5
14135dad57
15b7c0320
hex7d244e1

131220705 has 128 divisors (see below), whose sum is σ = 285659136. Its totient is φ = 49766400.

The previous prime is 131220701. The next prime is 131220721. The reversal of 131220705 is 507022131.

It is not a de Polignac number, because 131220705 - 22 = 131220701 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (131220701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 804954 + ... + 805116.

It is an arithmetic number, because the mean of its divisors is an integer number (2231712).

Almost surely, 2131220705 is an apocalyptic number.

131220705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131220705 is an abundant number, since it is smaller than the sum of its proper divisors (154438431).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131220705 is a wasteful number, since it uses less digits than its factorization.

131220705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247.

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 131220705 is about 11455.1606274203. The cubic root of 131220705 is about 508.1603656495.

Adding to 131220705 its reverse (507022131), we get a palindrome (638242836).

The spelling of 131220705 in words is "one hundred thirty-one million, two hundred twenty thousand, seven hundred five".

Divisors: 1 3 5 7 11 15 17 21 33 35 41 51 55 77 85 105 119 123 163 165 187 205 231 255 287 357 385 451 489 561 595 615 697 815 861 935 1141 1155 1309 1353 1435 1785 1793 2091 2255 2445 2771 2805 3157 3423 3485 3927 4305 4879 5379 5705 6545 6683 6765 7667 8313 8965 9471 10455 12551 13855 14637 15785 17115 19397 19635 20049 23001 24395 26895 30481 33415 37653 38335 41565 46781 47355 53669 58191 62755 73185 73513 91443 96985 100245 113611 115005 140343 152405 161007 188265 213367 220539 233905 268345 290955 340833 367565 457215 514591 568055 640101 701715 795277 805035 1066835 1102695 1249721 1543773 1704165 2385831 2572955 3200505 3749163 3976385 6248605 7718865 8748047 11929155 18745815 26244141 43740235 131220705